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Finding the Fourth Proportional to 2,075.82, 2,864.12 and 1,289.31

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Solution

The fourth proportional to 2,075.82, 2,864.12 and 1,289.31 is: 1,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.82 : 2,864.12 = 1,289.31 : x
  2. Step 2: Convert to fraction form
    2,075.82/2,864.12 = 1,289.31/x
  3. Step 3: Cross multiply
    2,075.82x = 2,864.12 × 1,289.31
  4. Step 4: Simplify right side
    2,075.82x = 3,692,738.56
  5. Step 5: Solve for x
    x = 3,692,738.56/2,075.82
  6. Step 6: Final answer
    x = 1,778.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.